On the sigma chromatic number of the join of a finite number of paths and cycles

• Main Authors: Garciano, Agnes, Lagura, Maria Czarina T, Marcelo, Reginaldo M
• Format: text
• Published: Archīum Ateneo 2019
• Subjects: Path; cycle; join; sigma coloring; sigma chromatic number; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/72; https://www.worldscientific.com/doi/10.1142/S1793557121500194
• Institution: Ateneo De Manila University

Let G">GG be a simple connected graph and c:V(G)→ℕ">c:V(G)→Nc:V(G)→ℕ a coloring of the vertices in G.">G.G. For any v∈V(G)">v∈V(G)v∈V(G), let σ(v)">σ(v)σ(v) be the sum of colors of the vertices adjacent to v">vv. Then c">cc is called a sigma co...